If you have volunteers or staff who remove waste on behalf of your charity, they will need a resident’s permit for their vehicle, and to ensure a smooth visit, could you provide them with a form of ID and something with the Charity registration number e.g. letterhead which also shows the charity’s address in Calderdale where the waste has come from. It will then be clear on site that you are not disposing of trade waste.
Further information on waste recycling can be found here https://new.calderdale.gov.uk/waste/waste-and-recycling-locations/